Hydromagnetic stability of current-induced flow in a small gap between concentric rotating cylinders

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 454, Issue 1975, 1998, Pages 1857-1873

  Chang, Min Hsing ^a   Chen, ChA'O Kuang ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Axisymmetric disturbance; Hartmann number; Hydromagnetic stability; Lorenz force; Non axisymmetric disturbance; Taylor number

Indexed keywords

EID: 0037694586     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0237     Document Type: Article

References (14)

1. Chandrasekhar, S. 1953 The stability of the viscous flow between rotating cylinders in the presence of a magnetic field. Proc. R. Soc. Land. A 216, 293-309.
2. Chandrasekhar, S. 1961 Hydrodynamic and hydromagnetic stability. Oxford University Press.
3. Chang, T. S. & Sartory, W. K. 1967 On the onset of instability by oscillatory modes in hydromagnetic Couette flow. Proc. R. Soc. Land. A 301, 451-471.
4. Chen, F. & Chang, M. H. 1992 Stability of Taylor-Dean flow in a small gap between rotating cylinders. J. Fluid Mech. 243, 443-455.
5. DiPrima, R. C. 1959 The stability of viscous flow between rotating concentric cylinders with a pressure gradient acting round the cylinders. J. Fluid Mech. 6, 462-468.
6. Donnelly, R. J. & Caldwell, D. R. 1964 Experiments on the stability of hydromagnetic Couette flow. J. Fluid Mech. 19, 257-263.
7. Donnelly, R. J. & Ozima, M. 1962 Experiments on the stability of flow between rotating cylinders in the presence of magnetic field. Proc. R. Soc. Land. A 266, 272-286.
8. Hong, S. H. & Wilhelm, H. E. 1976 Magnetohydrodynamic instability of a cylindrical liquidmetal brush. J. Appl. Phys. 47, 906-913.
9. Hughes, T. H. & Reid, W. H. 1964 The effect of a transverse pressure gradient on the stability of Couette flow. Z. Angew. Math. Phys. 15, 573-581.
10. Krueger, E. R., Gross, A. & DiPrima, R. C. 1966 On the relative importance of Taylor-vortex and non-axisymmetric modes in flow between rotating cylinders. J. Fluid Mech. 24, 521-538.
11. Kurzweg, U. H. & Khalfaoui, A. H. 1982 Current-induced instabilities in rotating hydromagnetic flows between concentric cylinders. Phys. Fluids 25, 440-445.
12. Raney, D. C. & Chang, T. S. 1971 Oscillatory modes of instability for flow between rotating cylinders with a transverse pressure gradient. Z. Angew. Math. Phys. 22, 680-690.
13. Roberts, P. H. 1964 The stability of hydromagnetic Couette flow. Proc. Camb. Phil. Soc. 60, 635-645.
14. Tabeling, P. & Chabrerie, J. P. 1981 Magnetohydrodynamic Taylor vortex flow under a transverse pressure gradient. Phys. Fluids 24, 406-412.